Answers
[tex]\bold{\huge{\underline{ Solution }}}[/tex]
Given :-Here, we have composite figure which is composed of 2 cuboids. The dimensions of larger cuboid is 12cm, 7cm, 7cmThe dimensions of smaller cuboid is 7cm, 2cm , 2cmTo Find :-We have to find the total surface area of the composite figure Let's Begin :-Here,
The dimension of larger cuboid are
Length = 12cmBreath = 7 cmheight = 7 cmWe know that,
Lateral surface area of cuboid
[tex]\bold{\red{ = 2( lb + bh + hl)}}[/tex]
Subsitute the required values,
[tex]\sf{ = 2[(7)(7) + (7)(12) +(7)(12) ]}[/tex]
[tex]\sf{ = 2[ 49 + 84 ]}[/tex]
[tex]\sf{ = 2[ 49 + 168 ]}[/tex]
[tex]\sf{ = 2[ 217 ]}[/tex]
[tex]\bold{ = 434 cm^{2}}[/tex]
Now,We have to find the lateral surface area of smaller cuboid
The dimensions of smaller cuboid are 7cm, 2cm and 2cmTherefore,
Lateral surface area of smaller cuboid
[tex]\sf{ = 2[(2)(7) + (7)(2) +(2)(2) ]}[/tex]
[tex]\sf{ = 2[ 14 + 14 + 4 ]}[/tex]
[tex]\sf{ = 2[ 28 + 4 ]}[/tex]
[tex]\sf{ = 2[ 32]}[/tex]
[tex]\bold{ = 64 cm^{2}}[/tex]
The common base area of both the cuboids
[tex]\sf{ = lb }{\sf{ + lb}}[/tex]
[tex]\sf{ = 14 + }{\sf{ 14}}[/tex]
[tex]\bold{ = 28 cm^{2}}[/tex]
Now,The total surface area of the given composite figure
= SA of larger cuboid + SA of smaller cuboid - common base area
Subsitute the required values,
[tex]\sf{ = 434 + 64 - 28 }[/tex]
[tex]\sf{ = 498 - 28 }[/tex]
[tex]\bold{ = 470cm^{2}}[/tex]
Hence, The surface area of composite figure is 470 cm² .
Answer:
470cm²
Step-by-step explanation:
SA= (12*7)*4+(7*7)*2+(2*2)*2+(7*2)*2
=336+98+8+28
= 470 cm²
Therefore, the surface ares is 470 cm².
~
Related Questions
8. An adult male elephant can weigh up to 15,000 pounds. How many tons is this?
show your work.
Answers
Answer:
this is 7.5 tons.
Step-by-step explanation:
Simply divide 15,000lbs by 2,000lbs (how many lbs in a ton), and you get 7.5!
There are 34 desks in the classroom, however, 3 of the desks are broken. How many groups of 4 unbroken
desks can be made?
6 groups
07 groups
8 groups
9 groups
Answers
Answer:
7 Groups
Step-by-step explanation:
4 x 8 is 32, more than are available, 4 x 6, less than available.
Given the functions, f(x)=30x4+9x3+27x2−21x−17 and g(x)=6x+3, divide f(x) by g(x) and simplify.
Question options:
a.5x3−x2+5x−6+16x+3
b.5x3−x2+5x−6−36x+3
c.5x3−x2+5x−6+66x+3
d.5x3−x2+5x−6+86x+3
Answers
Answer: 21+1000 =100.2
Step-by-step explanation:pull down explain multiplication
What is the measure of BAC. Degree of 53
Answers
Answer:
37
Step-by-step explanation:
Of the 14 clients at Bob's salon, 7 of them have red hair. What is the probability that a randomly selected client at Bob's salon has red hair? P(red) =
Answers
Now
[tex]\\ \rm\Rrightarrow P(E)=\dfrac{|E|}{|S|}[/tex]
[tex]\\ \rm\Rrightarrow P(E)=\dfrac{7}{14}=1/2[/tex]
Answer:
[tex]\mathsf{Probability \ of \ an \ event \ occurring = \dfrac{Number \ of \ ways \ it \ can \ occur}{Total \ number \ of \ outcomes}}[/tex]
Given:
Total number of outcomes = total number of clients = 14Number of ways it can occur = number of clients with red hair = 7[tex]\implies \mathsf{Probability \ of \ red\ hair= \dfrac{7}{14}=\dfrac12=0.5}[/tex]
( 1 + 1 ) + ( 1 + 1 ) in standard form
Answers
Answer:
4
Step-by-step explanation:
Standard form, in other words, is when it is fully simplified.
[Given]
( 1 + 1 ) + ( 1 + 1 )
[Add what it is the parentheses]
( 2 ) + ( 2 )
2 + 2
[Add 2 and 2 together]
4
Answer:
.4x10^1
Step-by-step explanation:
2+2+4
4 in standard form=.4x10^1
brainliest appreciated hope this helps!!
How do I find the value of x??
Answers
Answer:
85
Step-by-step explanation:
The sum of the angles inside a triangle is 180 degrees.
A circle is 360 degrees, making half of it be 180 as well.
Since there are 121 degrees already marked, subtract it from 180 and you will get 59 degrees.
36 + 59 = 95
180 - 95 = 85 degrees.
Answer:
x = 85
Step-by-step explanation:
angles of a triangle = 180 degrees (all angles must equal 180)
if you minus 121 from 180, it will give the interior angle which is 59 degrees
therefore 59 + 36 + x = 180
to find x plus 59 and 36 = 95 degrees
180 - 95 = 85
x = 85 degrees
What is the quotient of 534÷112
Answers
Answer:
4.76785714286
The average salary for a first-year teacher is $27,989. If the distribution is approximately normal with a standard deviation of $3250. If the z-score is 0.34. What salary corresponds to the z-score
Answers
If needed, delete the comma and/or the dollar sign.
=========================================================
Work Shown:
mu = 27989 = population mean
sigma = 3250 = population standard deviation
z = (x-mu)/sigma
z*sigma = x-mu
x = z*sigma + mu
x = 0.34*3250 + 27989
x = 29,094
The salary of $29,094 corresponds to the z score of 0.34.
This indicates the salary $29,094 is exactly 0.34 standard deviation units above the mean.
A box is 36 inches long
18 inches wide
And 6 inches deep
How many cubic feet are in the box
Answers
3,888 ft³
Step-by-step explanation:
Multiply the dimensions together.
Therefore, the box is 3,888 ft³.
a container holds 24 pints of lemonade. how much is this in gallons?
Answers
Answer:
The answer is 3 gallons.
What is the measure of DE ? Would the correct answer be 5in
Answers
Answer:
I think it would be 5 I'm honestly not 100% sure though!
Find the interest on 2180 for one year at simple interest 4%
Answers
please mark me as brainlest
Please help with the attached file! Thank you
Answers
9514 1404 393
Answer:
see attached
Step-by-step explanation:
There is no 'y'. Your problem statement has a typo.
Pick any values of x you like. I find small integers are usually convenient. I also find a spreadsheet does repetitive evaluation very nicely. See the attached for an appropriate table.
Given the parent function f(x)= ???
in red, write the equation for the transformed function g(x)
in green in terms of f(x)
.
Answers
1. What is the intersection of the sets {0, 2, 6, 8, 12} and {0, 3, 6, 9, 12}?
2. Using the number line below to compare the list of numbers. Place the numbers in
increasing order.
-1.5, .3, -2/5, 1 4/5
3. Using the number line below, list the following numbers in increasing order:
1.1, -1.9, .4, -.6
4. What is the set of even numbers between 3 and 13?
5. What is the intersection of the sets {2, 5,8,12,18} and {1, 2, 5, 7, 18}?
6. What is the intersection between these three sets: X = {-5, -3, -1, 1, 3, 5}, Y= {1, 3, 5, 7, 9, 11}, Z = {-5, -1, 1, 5, 9, 13}
7. What is the union of the sets {0, 2, 4, 8, 10, 12} and {0, 3, 12}?
8. Which value of x makes the open sentence true: 2, 3, 4, or 5? 5 + 2 = 3 + 9
9. Which value of x makes the open sentence true: 1, 2, 3? 3 − 10 ? ( + 1) 2 + 2 3 __________
11. In golf, scores are calculated compared to par for the golf course. On a number line, par is 0.
a. Draw a number line and plot each golfer’s score.
b. List the golfers in order from best (lowest score) to worst (highest score).
c. For the coordinate representing Winston’s score, name the set(s) of which it is an element: natural numbers, whole numbers, integers, and real numbers
Golfer Winston Allen Mariota Hernandez
Score 4-under-par 5-under- par 2-over-par 3-over-par
Answers
Answer:
Can you redo it's a little too much
Answer:
Bro thats a lot of questions
Step-by-step explanation:
Describe how the graph of y = -2(x-4)3 + 1 can be obtained from the graph of y = x3.
Answers
I am guessing you meant y=-2(x-4)^3+1 from x^3
From the parent cubic function x^3,
a(x-k)^3+h is its transformation and it would be vertical stretch by a, followed by a horizontal translation by k and vertical translation by h
Your equation follows the same format it has a negative sign at the front before the ( ) which means a reflection over the x axis at the beginning
SO your graph is a
1.reflection over the x axis
2.followed by a vertical stretch by 2
3.followed by a horizonal translation to the right 4
4.followed by a vertical translation up 1
from x^3
I hope this helped, please ask if you have any questions!
by name and label all inputs. 1: Saving for Retirement Devon is young and has just graduated college with her associate's degree. She plans to start saving money for retirement as soon as she starts her new job. By taking 10% of her monthly gross income, Devon is able to contribute (a) $ $587 each month to a retirement plan. The account is expected to earn interest with an APR of 5.25% compounded monthly. Round answers to two decimal places. a. How much money will be in Devon's retirement account if she continues to make the same monthly investment for 40 years? (3 pt) I b. Overall, Devon contributed how much of her own money into the retirement account? (4 pt)
Answers
The amount of money in Devon's retirement account if she saves $587 each month for 40 years is $956,488.14.
The total amount of her money contributed is $956,488.14.
What is the value of th retirement account?The formula that can be used to determine the future value of the retirement account is:
Future value = monthly contribution x annuity factor
Annuity factor = {[(1+r)^n] - 1} / r
Where:
r = interest rate = 5.25% / 12 = 0.4375%n = number of years = 40 x 12 = 480{[(1.004375^480) - 1] / 0.004375} x $587 = $956,488.14
Total contributions = $587 x 12 x 40 = $281,760
To learn more about future value, please check: https://brainly.com/question/18760477
A worker in the USA is paid $22,000 per year as a gross salary. The worker is asked to reduce her salary to $19,000 per annum. What is the percentage decrease? Round you answer to the nearest whole percent.
Answers
22,000 - 19,000 / 22,000 x 100
3,000/22,000 x 100
0.136363636363636 x 100
13.63636363636364%
13.64%
14%
PLEASE HELP IM BEGGING YOU!!!
Find the value of x. Round angle measures to the nearest degree.
Answers
Answer:
61°Step-by-step explanation:
sin x = 29/33sin x =0.8787x = arcsin(0.8787)arcsin (0.8787) = 61.5°Correct choice is 61°
(The following information applies to the questions displayed below.
term
ns li
Saskatewan Can Company manufactures recyclable soft-drink cans. A
unit of production is a case of 12 dozen cans. The following standards
have been set by the production-engineering staff and the controller.
ook
Len
en W
rint
Direct Labor:
Quantity, 0.16 hour
Rate, $8.00 per hour
Direct Material:
Quantity, 9 kilograms
Price $0.42 per kilogram
erences
du. C
owth
sines
Actual material purchases amounted to 233,200 kilograms at $0.475
per kilogram. Actual costs incurred in the production of 22,000 units
were as follows:
arkets
pwth
Direct Labor:
Direct material:
$33,264 for 3,960 hours
$98,230 for 206,800 kilograms
onge
innov
sign,
Required:
Answers
The direct material price variance of Saskatewan Can Company will be $6552.
How to calculate the direct material price variance?From the information given, it should be noted that the direct material price variance will be calculated thus.
Firstly, the actual materials cost will be:
= Actual quantity × Actual price
= 218400 × $0.65
= $141960
The projected materials cost will be:
= 218400 × $0.62
= $135408
Therefore, the price variance will be:
= $141960 - $135408
= $6552
Learn more about price variance on:
https://brainly.com/question/25417216
If the probability of an event is
23
96
, what is the probability of the event not happening?
Answers
Answer:
73/96
Step-by-step explanation:
I hope you meant 23/96
the probability of not happening would be 1-23/96
73/96
a plane flying at a certian altitude is observed from two points that are 3 miles apart. the Angles of elevation made by the two points are 55deg and 72deg
Answers
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
In the right triangle ABC
tan(72°)=h/x
h=xtan(72°) -----> equation A
In the right triangle ABD
tan(55°)=h/(x+3)
h=(x+3)tan(55°) -----> equation B
equate equation A and equation B and solve for x
xtan(72°)=(x+3)tan(55°)
xtan(72°)-xtan(55°)=3tan(55°)
x[tan(72°)-tan(55°)]=3tan(55°)
x=3tan(55°)/[tan(72°)-tan(55°)]
Find the value of h
h=xtan(72°)
h=[3tan(55°)*tan(72°)]/[tan(72°)-tan(55°)]
h=8 miles
The altitude of the plane is 8 miles
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
we know that in the right triangle ABC
tan function is ratio of opposite side and adjacent side
tan(72°)=h/x
h=xtan(72°) ....... equation 1
In the right triangle ABD
tan(55°)=h/(x+3)
h=(x+3)tan(55°) ..... equation 2
From equation 1 and 2
xtan(72°)=(x+3)tan(55°)
xtan(72°)-xtan(55°)=3tan(55°)
x[tan(72°)-tan(55°)]=3tan(55°)
x=3tan(55°)/[tan(72°)-tan(55°)]
We have to find the value of h
h=xtan(72°)
h=[3tan(55°)*tan(72°)]/[tan(72°)-tan(55°)]
h=8 miles
Hence, the height is 8 miles of the plane.
To learn more on trigonometry click:
https://brainly.com/question/25122835
#SPJ7
help me please!!!!!!!
Answers
Answer:
45 cm²
Step-by-step explanation:
Area of the two triangles:
A = 1/2*b*h
A = 1/2*3*4
A = 1/2*12
A = 6
Area of the two rectangles:
A = bh
A = 4*3
A = 12
Area of square:
A = bh
A = 3*3
A = 9
Now add these numbers together to get total area:
6 + 6 + 12 + 12 + 9 = 45
Hope this helps :)
the diameter of a circle is 22.4cm find it's area
Answers
Answer:
Area = πr^2
= 22/7 x 22.4/2 ^2
calculate to get area
Answer:
area =394.081 cm^2
Step-by-step explanation:
please mark me as brainlest
HELP PLEASE<33 IM NOT SURE HOW TO DO THIS!
Answers
Answer:
Step-by-step explanation:
1b. <
1c. =
1d. >
2c. n=6
3. Yes
4. 4
5. 5 1/3
6. 2 3/5
If 1 in = 25.4 mm, how fast was the San Rafael Glacier moving in yards per hour? If necessary round to six decimal places
Answers
Answer:
203 / 25.4
7.992 in
7.922 in / day
7.922 in / 24 hr
0.333 in / hr
Step-by-step explanation:
-2w - 5w =
Please help me it’s due tomorrow
Answers
Answer:
-7w
Step-by-step explanation:
-2w - 5w = -7wI hope this helps!
Answer:
-7w
Step-by-step explanation:
Since they are like terms, think about it as the w not being there at all and just doing -2 - 5.
What is the perimeter of STU?
11
104
Time
elapsed
U
00
6
00
MIN
4
SmartScore
out of 100
2
62
-10
-8
-6
-4
0
6
10
s
4
s
т
-2
-4
-6
-8
-10
Perimeter =
units
Answers
Answer:
2x x. – 1) 2x2 + x - 3 - (2x2 – 2x)2x x. – 1) 2x2 + x - 3 - (2x2 – 2x)2x x. – 1) 2x2 + xx x. – 1) 2x2 + x - 3 - (2x2 – 2x)2x x. – 1) 2x2 + x - 3 - (2x2 – 2x)2x x. – 1) 2x2 + x - 3 - (2x2 – 2x)2x x. – 1) 2x2 + x - 3 - (2x2 – 2x)2x x. – 1) 2x2 + x - 3 - (2x2 – 2x)2x x. – 1) 2x2 + x - 3 - (2x2 – 2x)2x x. – 1) 2x2 + x - 3 - (2x2 – 2x)2x x. – 1) 2x2 + x - 3 - (2x2 – 2x)2x x. – 1) 2x2 + x - 3 - (2x2 – 2x)2x x. – 1) 2x2 + x - 3 - (2x2 – 2x)2x x. – 1) 2x2 + x - 3 - (2x2 – 2x)2x x. – 1) 2x2 + x - 3 - (2x2 – 2x)2x x. – 1) 2x2 + x - 3 - (2x2 – 2x)
Step-by-step explanation:
What would Y be equal to in the problem 0.5x + 0.6y = 5.4
Answers
Answer:
y = -[tex]\frac{5}{6}[/tex]x + 9
Step-by-step explanation:
0.5x + 0.6y = 5.4
0.6y = -0.5x + 5.4
Multiply 10 on all sides.
6y = -5x + 54
Divide 6 on all sides.
y = -[tex]\frac{5}{6}[/tex]x + 9